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Manifold Spines and Hyperbolicity Equations
Ruini, Beatrice
Spaggiari, Fulvia
2001
Abstract
We give a combinatorial representation of compact
connected orientable 3-dimensional manifolds with boundary and
their special spines by a class of graphs with extrastructure which
are strictly related to o-graphs defined and studied in [3] and [4].
Then we describe a simple algorithm for constructing the boundary of these manifolds by using a list of 6-tuples of non-negative
integers. Finally we discuss some combinatorial methods for determining the hyperbolicity equations. Examples of hyperbolic 3-
manifolds of low complexity illustrate in particular cases the constructions and algorithms presented in the paper.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 suppl. 1 (2001)
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
Beatrice Ruini and Fulvia Spaggiari, "Manifold spines and hyperbolicity equations", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 32 (2001) suppl.1, pp. 333–374.
Languages
en
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